Multiply Square Roots · Exercise 81

A garden will be made so as to contain two square sections, one section with side length $\sqrt{5}+\sqrt{6}$ yards and one section with side length $\sqrt{2}+\sqrt{3}$ yards. Simplify ${\left(\sqrt{5}+\sqrt{6}\right)}^2+{\left(\sqrt{2}+\sqrt{3}\right)}^2$ to determine the total area of the garden. Round your answer to the nearest tenth.

OpenStax, Elementary Algebra 2e · §9.4 Multiply Square Roots · Exercise 81